Answer:
Step-by-step explanation:
Given
Transformation: 180 degrees clockwise around the origin
Required
Determine the new coordinates Z'
<em>When a point (x,y) is rotated 180 degrees clockwise around the origin, the new point is: (-x,-y)</em>
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So:
Then:
Answer:
Surface Area: 34
Volume: 10
Step-by-step explanation:
Volume = l*w*h
We need to divide the shapes up.
First Shape: 3 length * 1 width * 2 height
Second Shape: 2 length * 1 width * 2 height
6+4=10
Surface Area: 2(lw+wh+hl)
Lets divide the shape into two parts again and plug in the number into the formula.
2(3+2+6) = 2(11) = 22
However, for this, two units are inside to shape because we split it up. We can remove these 2 units.
22-2=20
Now we move to the next shape.
(Keep in mind, you can always just count surface area.)
2(2+2+4) = 2(8) = 16
However, again, two units are inside the shape because this is not just a simple figure.
16-2=14
14+20=34